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**Solving Simple Inequalities**

1-5 Solving Simple Inequalities Pre-Algebra Warm Up Solve. 1. x + 6 = 13 2. 8n = 48 3. t 2 = 56 4. 6 = x = 7 n = 6 t = 58 z 6 z = 36 Homework out to check!

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**Learn to solve and graph inequalities.**

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**An inequality compares two quantities and typically uses one of these symbols:**

< is less than is greater than is less than or equal to is greater than or equal to

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**Additional Example 1: Completing an Inequality**

Compare. Write < or >. A. 23 – > B. 5(12) <

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Try This: Example 1 Compare. Write < or >. A. 19 – < B. 4(15) >

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**An inequality that contains a variable is an algebraic inequality.**

A number that makes an inequality true is a solution of the inequality. The set of all solutions is called the solution set. The solution set can be shown by graphing it on a number line.

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**Word Phrase Sample Solutions**

Inequality Sample Solutions Solution Set x is less than 5 x < 5 x = 4 4 < 5 x = 2.1 2.1 < 5

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**Word Phrase Sample Solutions**

Inequality Sample Solutions Solution Set y is less than or equal to 2 y is at most 2 y 2 y = 0 0 2 y = 1.5 1.5 2 –3 –2 –

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Solving inequalities is the same as solving an equation, but with 1 exception – when you multiply or divide by a negative #.

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Joke of the day A new teacher was trying to make use of her psychology courses. She started her class by saying, "Everyone who thinks you're stupid, stand up!“ After a few seconds, Little Johnny stood up. The teacher said, "Do you think you're stupid, Little Johnny?" "No, ma'am, but I hate to see you standing there all by yourself!"

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**Solve and graph the inequality.**

A. x 8 –2.5 –2.5 Subtract 2.5 from both sides. x 5.5

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**Solve and graph the inequality.**

B. 5t > 15 5t > 15 Divide both sides by 5. 5 5 t > 3

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**Solve and graph the inequality.**

C. w – 1 < 8 Add 1 to both sides. w < 9 –

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**Solve and graph the inequality.**

4 D. 3 3 p 4 4 • 4 • Multiply both sides by 4. 12 p

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**Lesson Quiz Use < or > to compare each inequality.**

(2) – Solve and graph each inequality. 3. k + 9 < 12 4. 3 5. A school bus can hold 64 passengers. Three classes would like to use the bus for a field trip. Each class has 21 students. Write and solve an inequality to determine whether all three classes will fit on the bus. > > k< 3 –5 –4–3–2– m 2 6 m –4 –3–2– 3(21) 64; 63 64; yes ?

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**Write an equation & solve**

Homework out Warm-up Write an equation & solve The average weight of an elephant is 5,450 kg. This is 4,270 kg more than the average weight of a giraffe. What is the average weight of the giraffe?

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**Positive choices Respect Integrity Determination Excellence P.R.I.D.E.**

Altadena Middle School P.R.I.D.E. P Positive choices R Respect I Integrity D Determination E Excellence Monday

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Mid-chp 1 quiz You need 1 pieces of paper out

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